What is the frequency of a pressure wave of wavelength 4.0 m that is traveling at 1250 m/s?

The response to the questions are given below:

1a. The condition for the equilibrium of a rigid body acted upon by parallel forces is that the vector sum of all the forces acting on the body must be equal to zero, and the vector sum of all the torques (moments) acting on the body must also be equal to zero.

1bi. An experiment to determine the mass of a meter rule using the principles of moments could involve suspending the meter rule from a pivot point using a string or wire, and then applying known weights to the ends of the meter rule.

1bii. Two precautions that should be taken to ensure accurate results in this experiment would be to ensure that the pivot point is perfectly level and that the weights applied to the ends of the meter rule are applied at exactly the same distance from the pivot point.

C. A couple in physics is a pair of forces that act on a body in such a way that they produce a turning effect, or torque, about a fixed point. A couple consists of two equal and opposite forces that are applied to the body at different points.

When a rigid body's linear momentum or rotational momentum are not changing at any given time, it is said to be in mechanical equilibrium. The body is in a state of mechanical equilibrium when there is no linear or angular acceleration.

When a rigid body's linear and angular acceleration are both zero with respect to an inertial frame of reference, we say that it is in equilibrium. A body in equilibrium can therefore move, but in that case, its linear and angular velocities must remain constant.

Therefore, In essence, there should not be any acceleration for an object to be in equilibrium (linear or angular). Therefore, the item must have zero net force and zero net torque.

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A longitudinal wave is observed and the speed of the wave is 15.84 m/s.

The wave in which the particles of medium oscillate parallel to direction of propagation of wave is called longitudinal wave

Speed of a wave is given by the product of its wavelength and frequency. Mathematically,

v = λf

where:

v = wave speed

λ = wavelength

f = frequency

Given the wavelength of wave as 24 m and frequency as 0.66 Hz. Substituting these values in the equation above :

v = λf = 24 m × 0.66 Hz = 15.84 m/s

Therefore, the speed of the wave is 15.84 m/s.

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The rotational inertia of the flywheel is 2457.6 kgm² and the mass of the flywheel is 7680 kg

The total mechanical energy of the cylindrical flywheel and man is conserved.

So, mgh + 1/2Iω² + 1/2mv² = mgh' + 1/2Iω'² + 1/2mv'² where

So, with h = 0 m, ω = 0 and v = 0. Substituting these into the equation, we have

mgh + 1/2Iω² + 1/2mv² = mgh' + 1/2Iω'² + 1/2mv'²

mg(0) + 1/2I(0)² + 1/2m(0)² = mgh' + 1/2Iω'² + 1/2mv'²

0 + 0 + 0 = mgh' + 1/2Iω'² + 1/2mv'²

0 = mgh' + 1/2Iω'² + 1/2mv'²

The rotational inertia of the flywheel is 2457.6 kgm²

Making I subject of the formula, we have

I = -m(v'² + 2gh')/ω'²

So, substituting the values of the variables into the equation, we have

I = -m(v'² + 2gh')/ω'²

I = -80 kg[(2.0 m/s)² + 2 × 9.8 m/s² × -10 m)/(2.5 rad/s)²

I = -80 kg[4.0 m²/s² - 196 m²/s²)/6.25 rad²/s²

I = -80 kg[-192 m²/s²)/6.25 rad²/s²

I = 15360 kgm²/s²/6.25 rad²/s²

I = 2457.6 kgm²

The rotational inertia of the flywheel is 2457.6 kgm²

We know that the rotational inertia of a cylinder I = 1/2MR² where

So, making M subject of the formula, we have

M = 2I/R²

Substituting the values of the variables into the equation, we have

M = 2I/R²

M = 2 × 2457.6 kgm²/(0.80 m)²

M = 4915.2 kgm²/0.64 m²

M = 7680 kg

So, the mass of the flywheel is 7680 kg

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ANSWER

EXPLANATION

The speed of a wave is given by the formula:

where λ = wavelength

f = frequency

Hence, the wavelength of the wave is:

Therefore, the wavelength of the sound wave is:

The answer is option B.

Answer:

B

Explanation:

Answer:

A warm current

Explanation:

Answer:

A warm current is moving away from the equator towards the poles. The water in a warm current is warmer than the surrounding water.

The rock would melt due to energy from the Earth's interior, becoming lava. Igneous rock would form as the magma cooled.

In essence, rocks and humans receive the same amount of energy from the sun, but igneous rock will form from sedimentary rock if the sedimentary rock was exposed to energy from the earth's deep.

The heat from the sun's rays warms the rocks when it reaches the surface. As the temperature of the rock rises as a result of conduction, heat energy is released into the surroundings, producing an air bubble that is warmer than the surrounding air.

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The equation Jerry should use for the total resistance in a series circuit is R = R₁ + R₂ + R₃.

option A.

In a series circuit, all components are connected end-to-end, forming a single path for current flow.

A series circuit can contain any combination of resistors, capacitors, and inductors.

In a series circuit, the current flowing in each circuit component is the same  and the voltage drop in each circuit component is different.

Based on this, the total formula for the total resistance in a series circuit is given as;

R = R₁ + R₂ + R₃

where;

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Answer:6/1 %50 x11

Explanation:

25-45

The mass of 1 cm² piece of copy paper is 0.0072 g.

Assuming the dimensions of a piece of paper is 21.0 x 29.7 cm

The area of the piece of paper = 21.0 * 29.7 = 623.7 cm²

Mass of 623.7 cm² = 4.5 g

Mass of 1 cm² piece of copy paper = 4.5/623.7 cm² = 0.0072 g

Therefore, the mass of 1 cm² piece of copy paper is 0.0072 g.

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Answer:

E=2.58155844×10^-29

Explanation:

we use this formula

E= hc/ lambda

E= [(6.626×10^-34)( 3×10^8)]/(7.7×10^-3)

E=2.58155844×10^-29

Answer:

-10C= Solid

10C= Liquid

50C= Liquid

90C= Liquid

110C= Gas

120C= Gas

Explanation:

Below 0 degree C (Celsius), water is frozen means it is in the form of ice. After 0 degree, once we keep it in room temperature, the ice starts becoming liquid (water), and once we heat water, after 100 degree C (Celsius) water starts boiling and thus starts entering gaseous state.

Answer:

v = 24 cm and inverted image

Explanation:

Given that,

The focal length of the object, f = +8 cm

Object distance, u = -12 cm

We need to find the position &nature of the image​. Let v be the image distance. Using lens formula to find it :

\(\dfrac{1}{v}-\dfrac{1}{u}=\dfrac{1}{f}\)

Put all the values,

\(\dfrac{1}{v}=\dfrac{1}{f}+\dfrac{1}{u}\\\\\dfrac{1}{v}=\dfrac{1}{8}+\dfrac{1}{(-12)}\\\\v=24\ cm\)

So, the image distance from the lens is 24 cm.

Magnification,

\(m=\dfrac{v}{u}\\\\m=\dfrac{24}{-12}\\\\m=-2\)

The negative sign of magnification shows that the formed image is inverted.

The index of refraction of a substance is: the speed of light in vacuum divided by the speed of light in the substance.

Speed is the rate of movement or action, typically measured in units such as miles per hour or seconds per mile. It can also refer to the rate of change of an object's position over time, or the rate at which an action takes place. In physics, speed is the magnitude of the velocity of an object, or the rate of change of its position. Speed is a scalar quantity, meaning it has magnitude but not direction. It is measured in units such as miles per hour (mph) or meters per second (m/s).

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Answer:

( About ) 1.1 cm / s

Explanation:

We know that the time it takes the clock's second hand to move is 60 seconds. Respectively the radius of this clock is given to be 10.5 centimeters.

_______________________________________________________

Let us apply the formula speed = distance traveled / time. Here the " distance traveled " is the circumference of the clock, or 2πr - where we can pose π as 3.14. In other words, Speed = 2πr / time. Substitute known values to solve for the Speed,

S = 2 * 3.14 * 10.5 / 60,

Speed = ( About ) 1.1 cm / s

Hope that helps!

Answer:

modern world

Explanation:

If  the mass of the pendulum is doubled, the period will increase by a factor of approximately 1.4.

The period of a simple pendulum is given by:

T = 2π√(l/g)

where T is the period, l is the length of the pendulum, and g is the acceleration due to gravity.

If we double the mass of the pendulum, the period will change. Let's denote the original mass of the pendulum as m and its period as T. If we double the mass, the new mass of the pendulum will be 2m, and we need to find the new period, which we'll denote as T'.

From the formula for the period of a simple pendulum, we can see that the period is proportional to the square root of the length and inversely proportional to the square root of the acceleration due to gravity. This means that if we double the mass while keeping the length and acceleration due to gravity constant, the period will be multiplied by a factor of √2.

Therefore, we can write:

T' = T * √2

Expressing this in two significant figures, we get:

T' = 1.4 T

So if the mass of the pendulum is doubled, the period will increase by a factor of approximately 1.4, but we cannot determine the specific value of the period without knowing the values of the length and acceleration due to gravity.

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Answer: F = 131.7N

Explanation:

You are given the following parameters.

Mass M = 30 kg

Coefficient of static friction μ = 0.5

Ø = 30 degrees

When the person is trying to drag the box with force F, the static frictional force Fs will be acting in the opposite direction.

From the figure attached, resolve all forces into horizontal component and vertical component.

Horizontal component:

Fs - F cosØ = 0

Fs = F cosØ

F cosØ = μN ...... (1)

Vertical component:

N + F SinØ - mg = 0

N = Mg - F SinØ ..... (2)

Substitutes m, g and Ø into the equation 2

N = (30 × 9.8) - F × sin30

N = 294 - 0.5F

Substitute N and coefficient of friction into the equation (1)

F cos30 = 0.5 (294 - 0.5F)

Open the bracket

0.8660F = 147 - 0.25F

Collect the like terms

1.116025F = 147

F = 147/1.116025

F = 131.7 N

Therefore, the minimum force the person needs to have to move the box along the floor is 131.7 N

Answer:

Resistance is a measure of the opposite to current flow in an electrical circuit. Resistance is measured in ohms.

Hope this helps

Answer:

waxing gibbous

Explanation:

because the moon is before the earth

Answer:

A

Explanation:

Because we need clean water to obtain a healthy diet, need oxygen which plants provide through photosynthesis and soil is important for food.

Asterisms are smaller, recognizable shapes formed by stars within a constellation or spanning multiple constellations. They can take the form of familiar objects or geometric shapes.

All stars within well-defined regions of the sky are members of constellations. These constellations are a way to organize and divide the celestial sphere into recognizable patterns.

The star in Taurus is designated Alpha Tauri, which means it is considered the brightest star in that particular constellation. Patterns of stars in the night sky are called asterisms.

Asterisms are smaller, recognizable shapes formed by stars within a constellation or spanning multiple constellations. They can take the form of familiar objects or geometric shapes.

While there are 88 official constellations recognized by the International Astronomical Union, there are countless asterisms that astronomers and stargazers observe and appreciate within these constellations.

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All stars within well-defined regions of the sky are members of constellations. The star in Taurus is designated Alpha Tauri. Patterns of stars in the night sky are called asterisms and are part of one or more constellations.

The International Astronomical Union (IAU) recognizes 88 constellations. These constellations are well-defined areas in the sky that contain groups of stars forming recognizable patterns. Some of the most famous constellations include Orion, Ursa Major (the Big Dipper), and Cassiopeia.

Asterisms, on the other hand, are smaller, distinct patterns formed by stars within a constellation or across multiple constellations. These patterns may be easily recognizable and have cultural or historical significance. For example, the Big Dipper is an asterism within the Ursa Major constellation.

In total, there are 15 asterisms that are officially recognized by the IAU. These include the Big Dipper, the Little Dipper, the Northern Cross, and the Summer Triangle.

Constellations and asterisms help astronomers navigate the night sky and locate specific celestial objects. They provide a way to organize and identify stars and other celestial bodies.

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The combination of the compound microscopes and refracting telescopes, operate by magnifying the image.

High levels of magnification are produced by the objective lens and eyepiece lens working together. Multiplying the objective lens' and the eyepiece lens' individual magnifications yields the microscope's overall magnification.

In a refracting telescope, the objective lens and eyepiece lens work together to produce high magnification, which makes distant objects look larger and more distinct to the spectator.

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Explanation: A) half wave rectifier

B) Full wave rectifier :

1) central tapped

2) bridge rectifier

i hope this was helpful to you

Answer: Solar radiation reflects off the lighter colours, away from the car, thus keeping the car cool

Explanation: This is because lighter colors reflect a good amount of radiation while darker colors absorb it. Just like, Antarctica hasn't completely melted because it reflects a lot of the heat that is acting upon it. Or, you notice that you get hotter when you wear a black shirt opposed to a white one.

Answer:

A stove top acts as a source of heat energy when it burns the gas. Anything which is placed above the stove also becomes a source of energy to cook things

Explanation:

hope you understand it

The Sun has the largest apparent brightness among the given options, followed by Betelgeuse, the Andromeda Galaxy, and Mercury.

Apparent brightness refers to how bright an object appears from Earth's perspective. The Sun, being our closest star, has the highest apparent brightness. Its proximity and intense radiation make it the brightest object in our sky. Betelgeuse, a red supergiant star, comes next in terms of apparent brightness. Although it is much farther away than the Sun, its enormous size and high luminosity contribute to its notable brightness.

The Andromeda Galaxy, while vast and containing billions of stars, is a distant object, resulting in a lower apparent brightness compared to individual stars. Finally, Mercury, being a planet and relatively close to the Sun, has the smallest apparent brightness among the given options.

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The dog has moved 8.04 meters far from the tree in 8 seconds.

Here, acceleration is given as a function of time,

a(t) = [(0.6)i-(0.24)tj]m/s²

We know,

If there is constant acceleration, then we can use the equations of motion,

So, using the equation,

S = ut + 1/2at²

Where,

S is the displacement,

u is initial velocity,

t is the time and,

a is the acceleration.

As the dog has started from rest, his displacement after 8 seconds,

So, putting the values,

S = (0)8 + 1/2((0.6)i-(0.24)(8)j)(8)

S = (0.3i-0.96j)(8)

S = (2.4i - 7.68j)m

Total displacement of the dog,

|S| = √((2.4)²+(7.68)²)

|S| = 8.04 meters.

The dog has moved 8.04 meters.

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